Search a number
-
+
114040216 = 231737131173
BaseRepresentation
bin1101100110000…
…01110110011000
321221120211202201
412303001312120
5213143241331
615152135544
72553216523
oct663016630
9257524681
10114040216
1159411114
12322375b4
131a81b324
1411207bba
15a029a61
hex6cc1d98

114040216 has 64 divisors (see below), whose sum is σ = 235651680. Its totient is φ = 51517440.

The previous prime is 114040181. The next prime is 114040249. The reversal of 114040216 is 612040411.

It is a junction number, because it is equal to n+sod(n) for n = 114040193 and 114040202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659106 + ... + 659278.

Almost surely, 2114040216 is an apocalyptic number.

It is an amenable number.

114040216 is an abundant number, since it is smaller than the sum of its proper divisors (121611464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114040216 is a wasteful number, since it uses less digits than its factorization.

114040216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 114040216 is about 10678.9613727179. The cubic root of 114040216 is about 484.9377693209.

Adding to 114040216 its reverse (612040411), we get a palindrome (726080627).

The spelling of 114040216 in words is "one hundred fourteen million, forty thousand, two hundred sixteen".

Divisors: 1 2 4 8 17 34 37 68 74 131 136 148 173 262 296 346 524 629 692 1048 1258 1384 2227 2516 2941 4454 4847 5032 5882 6401 8908 9694 11764 12802 17816 19388 22663 23528 25604 38776 45326 51208 82399 90652 108817 164798 181304 217634 329596 385271 435268 659192 770542 838531 870536 1541084 1677062 3082168 3354124 6708248 14255027 28510054 57020108 114040216